<p>We establish a fourth order sharp Sobolev trace inequality on three-balls, and its equivalence to a third order sharp Sobolev inequality on two-spheres.</p>

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A sharp Sobolev trace inequality of order four on three-balls

  • Xuezhang Chen,
  • Shihong Zhang

摘要

We establish a fourth order sharp Sobolev trace inequality on three-balls, and its equivalence to a third order sharp Sobolev inequality on two-spheres.